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Simplifying 5(7f + -9) + -8f = -32 Reorder the terms: 5(-9 + 7f) + -8f = -32 (-9 * 5 + 7f * 5) + -8f = -32 (-45 + 35f) + -8f = -32 Combine like terms: 35f + -8f = 27f -45 + 27f = -32 Solving -45 + 27f = -32 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 27f = -32 + 45 Combine like terms: -45 + 45 = 0 0 + 27f = -32 + 45 27f = -32 + 45 Combine like terms: -32 + 45 = 13 27f = 13 Divide each side by '27'. f = 0.4814814815 Simplifying f = 0.4814814815
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